Answer: hngrbrvrd
Step-by-step explanation:
The property is the distributive property of multiplication.
Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Step-by-step explanation:
If Point B lies between points A and C on line segment AC, then the formula is true AB+BC = AC
Given
AB = x inches'
AC = 20 inches
BC = 3x
Substituting the given parameters into the formula AB+BC = AC
x + 3x = 20
4x = 20
Divide both side by 4
4x/4 = 20/4
x = 5
Since x = 5 inches, hence the segment AB id 5 inches.
Given BC = 3x
BC = 3(5)
BC = 15 inches
This means that the space between points A and B is labeled 5 inches while the space between points B and C is labeled 15 inches.